Lübeck, S. ; Dhar, D. (2001) Continuously varying exponents in a sandpile model with dissipation near surface Journal of Statistical Physics, 102 (1-2). pp. 1-14. ISSN 0022-4715
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Official URL: http://www.springerlink.com/content/hn580148m1q371...
Related URL: http://dx.doi.org/10.1023/A:1026538607311
Abstract
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as ct−x. For χ>1 the disorder is irrelevant. For χ<1, it is relevant and the model is no longer critical for any nonzero c. For χ=1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this dependence exactly, and verify the results with simulations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Self-organized Criticality; Directed Abelian Sandpile Model; Surface Critical Phenomena; Non-universal Scaling Behavior |
| ID Code: | 82192 |
| Deposited On: | 10 Feb 2012 04:17 |
| Last Modified: | 10 Feb 2012 04:17 |
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